SOLUTION: Hi! 17. Complete the two-column proof. Image URL: http://prntscr.com/hn6rsk Could someone help me, please? Thank you!

Click here to see ALL problems on Parallelograms

Question 1104722: Hi!
17. Complete the two-column proof.
Image URL: http://prntscr.com/hn6rsk
Could someone help me, please?
Thank you!
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
my diagram from your picture is shown below:

step 1 is as shown in my diagram.
step 2 is as shown in my diagram.
step 3 reason is shown as A.
step 4 reason is shown as B.

A. corresponding sides of congruent triangle are congruent.

B. If a quadrilateral has one set of opposite sides which are both congruent and parallel, then it is a parallelogram.

statement B pertains to SV and TU in the diagram.

here's a reference on theorems dealing with parallelograms you might find useful.

https://mathbitsnotebook.com/Geometry/Quadrilaterals/QDParallelograms.html

look to the bottom of the above reference to see the theorem used in proving your problem.

the proof of theorem mention in B is referenced below.

https://mathbitsnotebook.com/Geometry/Quadrilaterals/QDThPf10.html